In ΔHIJ, h = 450 cm, i = 210 cm and j=640 cm. Find the measure of ∠I to the nearest degree.

Answers

Answer 1

Answer:

10

Step-by-step explanation:

Answer 2

The measure of an angle∠I  is 10 degrees between the 450 cm and 640 cm sides.

What is the Cosine Rule?

The Law of Cosines (also called the Cosine Rule) is defined as it relates all three sides of a triangle with an angle of a triangle.

c² = a² + b² − 2ab cos(C)

The cosine rule, also known as the law of cosines, relates all 3 sides of a triangle with an angle of a triangle. it relates the lengths of the sides of a triangle to the cosine of one of its angles.

In the given triangle ΔHIJ,

Sides:

h = 450 m

i = 210 m

j = 640 m

The angle of ∠I  is 10 degrees between the 450 cm and 640 cm sides.

According to the cosine rule,

j² = h² + i² − 2ab cos(I)

Substitute the values in the Cosine Rule,

450² = 210² + 640² - 2(210)(640)cos(I)

After solving we get the value of  angle ∠I :

∠I = 9.56038°

Rounded to the nearest degree.

∠I = 10°

Thus, the measure of an angle∠I  is 10 degrees.

Learn more the cosine rule here:

https://brainly.com/question/29717637

#SPJ2


Related Questions

Can I get help solve to find X?

Answers

Answer:  x = 14

==========================================

Explanation:

The same tickmarks on each side of the triangle tells us that all three sides are the same length. This triangle is equilateral.

All equilateral triangles have each of their three angles at 60 degrees (they are considered equiangular). This is because 60+60+60 = 180.

Set 2x+32 equal to 60 and solve for x

2x+32 = 60

2x = 60-32

2x = 28

x = 28/2

x = 14

As a check,

2x+32 = 2*14+32 = 28+32 = 60

which helps confirm the answer.

Brian bought 54 tangerines. He gave away 2/3 of them and ate 1/6 of the remainder. How many tangerines did he have left?

Answers

Answer:

6

Step-by-step explanation:

2/3 of 54 is 36. 1/6 of 36 is 6.

The lengths of the two legs of a right triangle are 4 and 7. What is the length of the
hypotenuse? Express answer in Simplified Radical Form.



Answers

Answer:8.06

Step-by-step explanation:

4 x 4= 16 7 x 7 = 49

49+16=65

square root of 65 =8.06

Answer:

[tex] \sqrt{65} [/tex]

Step-by-step explanation:

To find the hypotenuese of a right angle you use the pythagreon theroem.

[tex] {a}^{2} + {b}^{2} = {c}^{2} [/tex]

a and b are the height and base, while c is the hypotenuese. simply insert the values in the equation and find the variable.

[tex] {4}^{2} + {7}^{2} = {c}^{2} \\ 16 + 49 = {c}^{2} \\ 65 = {c}^{2} \\ \sqrt{65} = c[/tex]

The radical form answer is above, otherwise it would be a decimal.

Which is the better value, 2 books for $18 or 6 books for $45? Explain. {hint: make two tables; compare} (1 pt.) RP.1.3 b a.2 books for $18 because each book costs $9 and 6 books for $45 because each book costs $9.50 b.2 books for $18 because each book costs $8 and 6 books for $45 because each book costs $9.50 c.6 books for $45 because each book costs $7.50 and 2 books for $18 because each book costs $9 d.6 books for $45 because each book costs $9 and 2 books for $18 because each book costs $9.50 answer fast please

Answers

Answer:

I am a little confused by your question but if you were getting less it would be the first but more would be the second

Step-by-step explanation:

Answer:

c. 6 for 45 b/c each costs 7.50 and 2 for 18 b/c each book costs 9

Step-by-step explanation:

If you divide the amount of money by the number of books then you will find how much each book costs individually. If you wanna spend less money per book, then you 6 books for 45 is a better deal

James wants to buy some CDs that cost $14 each and a DVD that costs $23. He has $65. Write an equation (in the Show your work area) and solve to find how many CDs he can buy. Include "CD" in your answer.

Answers

Answer:

3

Step-by-step explanation:

65-23= 42

42/14= 3

Answer:

14x+23 =65 x=3CDs

Step-by-step explanation:

So for any question where you need to write your own equation, it is first necessary that you determine what each number in the problem means in order to determine where they should go. James has $65 so the equation needs to be set equal to 65. The problem says he wants to buy a DVD for $23 so that would be a constant $23 spent regardsless of how many CDs he buys. We are trying to use the equation to determine how many CDs James can buy so the number of CDs is the x value at $14 each which would be 14x in the equation. so the equation would be the 14x for the unknown number of CDs, plus 23 for the constant DVD that James would buy set equal to the $65 he can use to buy everything.

To solve the equation, you must now isolate for x. To start, cancel out the +23 on the left side by subtracting 23 from both sides. This will leave 14x=42. You must then cancel the 14 by dividing both sides by 14 leaving your answer of x=3CDs.

I hope this helps.

Which expression represents four more than twice a number?

Group of answer choices

2n + 4

4 + 2

n2 + 4

2n - 4

Answers

Answer:

2n+4

Step-by-step explanation:

PLEASE ANSWER THISSS

Answers

Answer:

78.5 ft

Step-by-step explanation:

You had the right answer

Hope you got the clarification you needed! :)

Brainliest pls

Its 78.5
Hope this helps and goood luckkkkk :)

4 across + 23 across =

Answers

Answer:

27 across

Step-by-step explanation:

4 + 23 = 27

4 3/7 + 6 1/5 = ?
Please EXPLAIN!!!
I'm too lazy and when I lazy I not so smart ;)

Answers

Answer:

Welp here is the answer to your question, 372/35 in exact form. in mixed number form it is 10 22/35

-please answer these six math questions for 25 points and brainliest to best answer-

Show your work in a formula

Example of a correct answer to 1 2/3 ÷ 4/6 = ?:

(1 2/3=1 4/6) 1 4/6 ÷ 4/6 = 2 1/2

--------

Question 1: Izzy made 3 1/3 liters of lemonade. If each of Izzy's jars holds 1/4 of a liter, how many jars can Izzy fill?


Question 2: 22.89 + 4.789 =


Question 3: 13.87 - 1.983 =


Question 4: 22.17(4.1) =


Question 5: 28.368 ÷ 0.8 =


Question 6: 664.752 ÷ 24

Answers

Answer:

2: 27.679

3: 11.887

4: 27.679

5: 35.46

6: 27.698

Step-by-step explanation:

2: you just have to add 22.89 + 4.789

3: here you just have to subtract 13.87 - 1.983

4: here you have to multiply 22.17(4.1)

5: here you have to divide 28.368 ÷ 0.8

6: here you have to divide 664.752 ÷ 24

its really difficult to show you this solution because i cant put a photo here  

Answer:

Question 1.  13 1/3

Question 2.  27.679

Question 3.  11.887

Question 4.  90.897

Question 5.  35.46

Question 6.  27.698

1. Calculate the value of x in the following diagram. 53 - Y IN Q 5x 18​

Answers

Answer:

x = 7

Step-by-step explanation:

QY = 5x

YZ = 18

QZ = 53

Thus:

QY + YZ = QZ (segment addition postulate)

5x + 18 = 53

5x = 53 - 18 (subtraction property of equality)

5x = 35

Divide both sides by 5

x = 7

HELPP ASAPPPP

Evaluate the expression 10m - 11
if m=4

Answers

Answer:

is the answer 45444.2453 jd

Step-by-step explanation:

Answer:

10m -11 ( plug in the given value for m)

10 (4) -11  (do multiplication first because of PEMDAS)

40 -11  (subtract)

29 (the answer)

Is A triangle with side lengths 24,32, 42 a right angle?

Answers

Answer:

No its not a right angle.

two people walk in a store then fives more people walk in the srores two walk out how many people are in the store?

Answers

Answer:

5....I guess...is it a brain teaser?

Five people are in the store

I NEED HELP NOW PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! im gonna fail i swear help please now



what's 2+2 ?

Answers

Answer:

2+2 = 4

Step-by-step explanation:

ok so if u put 2 fingers up and you add 2 more, you get 4

bruv

help me please!

I don't understand this:(​

Answers

Answer:

b=12

Step-by-step explanation:

9^2 + b^2 = 15^2 by the pythagorean theorem

81 + b^2 = 225

b^2 = 144

b = 12

Enter the equation of the line in slope-intercept form. Slope is 1 3 , and (6, 3) is on the line.

Answers

Answer:

would it be zero because when you try to find the equation its just 0 so it would be y=3

Step-by-step explanation:

as you can see both the points are at 3. so i would say y=3

What are the slope and the y-intercept of the linear function that is represented by the equation 8x-2y = 57
5
The slope is 2, and the y-intercept is 4.
5
The slope is 2, and the y-intercept is 4.
5
The slope is 4, and the y-intercept is 2.
5
The slope is 4, and the y-intercept is 2.

Answers

Answer:

slope(m)=4 and

y-intercept(c)=-5/2

Step-by-step explanation:

here,8x-2y=5

reducing it into slop intercept form we get,

2y=8x-5

or,y=8/2x+(-5/2)

or,y=4x+(-5/2)

comparing it with y=mx+c we get,

slope(m)=4 and

y-intercept (c)=-5/2

all you need is in the photo
please answer fast​

Answers

The statement “five-ninths” implies that it is equivalent to 5/9 or five-ninths and only B mentions the compatible answer.

Have a good day/evening/night.

John and his mother are trying to determine the dimensions of their new curtains. They know that the area of the fabric they have available is y^2-10y+25 square inches. Which of the following are possible dimensions of the curtains, in inches?
A.
(y – 1)(y – 10)
B.
(y – 25)(y – 1)
C.
(y – 5)(y – 5)
D.
(y + 5)(y – 5)

Answers

Answer:

the answer is C .  (y-5)(y-5)

Step-by-step explanation:

i just did it in edge

Find the slope of two points (1,-5)(10,6)

Answers

Answer:

11/9

Step-by-step explanation:

Answer: 11/9

Step-by-step explanation:

The slope is found by the change in y over the change in x

(6-(-5))/(10-1)

Simplify:

11/9

What is the slope passing through the points (6,5) and (5,3)

Answers

Answer:

[tex]m=2[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Algebra I

Slope Formula: [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]

Step-by-step explanation:

Step 1: Define

Point (6, 5)

Point (5, 3)

Step 2: Find slope m

Substitute [SF]:                    [tex]m=\frac{3-5}{5-6}[/tex]Subtract:                              [tex]m=\frac{-2}{-1}[/tex]Divide:                                 [tex]m=2[/tex]

What is the answer to this ??

Answers

Answer:

the first one

Step-by-step explanation:

they meet on (-3,-$4) so just plug the numbers in

Look at the image please worth points (don’t reply if you don’t have an answer)

Answers

Answer:

17

Step-by-step explanation:

add up everythig before 7 which is 2 5 and 10

Answer:

i believe it is 17.

Step-by-step explanation:

if c is 8 am, then 7 am must have been at 10. so add up all the numbers from then and further back, and you get 17. (it could also be 7 so don't count on it)

hope this helps! if correct pls mark brainliest!

Daniela got 78% on her last history test. If there were 50 questions on the test , how many did she get correct

Answers

Answer:

39.

Step-by-step explanation:

78% of 50 is 39. To calculate x% of a number y, we use the following rule: x% of y = (x / 100) × y.

.
Marshall gave the cashier $100 to pay for 4 new video games. The cashier gave him $4.08 in change. Each video game cost the same amount.

What is the cost in dollars and cents for each video game?
PLZZZZ HELP

Answers

Answer:

I would say it's $23.98

Step-by-step explanation:

If you do 100-4.08, you get 95.92 and since there's 4 video games, divide 95.92 by 4 and you get 23.98

Answer:

$23.98 or 2398 cents

Step-by-step explanation:

If the cashier gave $4.08 back, that means that he spent 100-4.08 on the 4 games.

$100 = 4 games + $4.08

4 games  = $95.92

$95.92/4 = $23.98

Hope That Helps.

15/3 = ?/1. what's the missing unit rate ​

Answers

The unit rate is 5/1

15/3=5
3/3=1

Answer:

5

Step-by-step explanation:

15/3 is the same as 5 since 5*3 is 15

The combined weight of three cubes is shown below.



How many pounds would 24 cubes weigh if there are 16 ounces in 1 pound?

Answers

Answer: 6 pounds

Step-by-step explanation:

I will pick brainiest if you have the correct answer.

Answers

Answer: y=-6=-3(x-4)

Step-by-step explanation:

The correct is Y=-6=-3(x-4)
Good luck

I need help with this question. Thank you so much!

Answers

Pretty sure it’s going to be D.

Answer:

D. -5

Step-by-step explanation:

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